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Finding the Fourth Proportional to 10,154.72, 14,013.59 and 5,678.89

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Solution

The fourth proportional to 10,154.72, 14,013.59 and 5,678.89 is: 7,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.72 : 14,013.59 = 5,678.89 : x
  2. Step 2: Convert to fraction form
    10,154.72/14,013.59 = 5,678.89/x
  3. Step 3: Cross multiply
    10,154.72x = 14,013.59 × 5,678.89
  4. Step 4: Simplify right side
    10,154.72x = 79,581,572.69
  5. Step 5: Solve for x
    x = 79,581,572.69/10,154.72
  6. Step 6: Final answer
    x = 7,836.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.